Nov 25, 2013
Can you help me with these?
For the first picture:
The first derivative lets you know if the slope increases (positive) or decreases (negative). If the first derivative is 0 The second derivative lets you know if the curve is concave up (u: positive) or concave down (n: negative). If the second derivative is 0: the point can be a maximum or a minimum. Example:
Knowing this give the problem a try if you still can't do it feel free to come back :)
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As for the second picture:
The equation can be rewritten as:
(3-x^3)^(-1/3) using the chain rule: (derivative of the outside time the derivative of the inside)
-1/3 * (3-x^3)^(-4/3) * -3x^2
x^2 * (3-x^3)^(4/3)
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Hope this helped :)
